An object accelerates 2.0 m/s2 when a force of 25.0 Newtons is applied to it. What is the mass of the object?

Answer:

a) t = 6.62 s

b) x = 238.6 m

c) H = 53.7 m

Explanation:

a) We can find the time of flight as follows:

[tex] y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2} [/tex]

Where:

[tex]y_{f}[/tex] is the final height = 0

[tex]y_{0}[/tex] is the initial height = 0

[tex]v_{0_{y}}[/tex] is the initial vertical velocity of the stone

t: is the time

g: is the gravity = 9.81 m/s²

[tex] v_{0}sin(42)t - \frac{1}{2}gt^{2} = 0 [/tex]      

[tex] 48.5 m/s*sin(42)*t - \frac{1}{2}9.81 m/s^{2}*t^{2} = 0 [/tex]  

By solving the above quadratic equation we have:  

t = 6.62 s

b) The maximum range is:

[tex] x = v_{0_{x}}t = 48.5 m/s*cos(42)*6.62 s = 238.6 m [/tex]

c) The maximum height (H) can be found knowing that at this height the final vertical velocity of the stone is zero:

[tex] v_{f_{y}}^{2} = v_{0_{y}}^{2} - 2gH [/tex]  

[tex] H = \frac{v_{0_{y}}^{2} - v_{f_{y}}^{2}}{2g} = \frac{(48.5 m/s*sin(42))^{2} - 0}{2*9.81 m/s^{2}} = 53.7 m [/tex]

I hope it helps you!

Answer:

The acceleration of the racecar is [tex]\mathbf{11.17~m/s^2}[/tex]

Explanation:

Uniformly Accelerated Motion

It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.

Following the definition above, the acceleration is defined as:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

Where a is the constant acceleration, vo the initial speed, vf the final speed, and t the time.

The racecar goes from vo=18.5 m/s to vf=46.1 m/s in t=2.47 seconds, thus the acceleration is:

[tex]\displaystyle a=\frac{46.1-18.5}{2.47}[/tex]

[tex]\displaystyle a=\frac{27.6}{2.47}[/tex]

[tex]a = 11.17~m/s^2[/tex]

The acceleration of the racecar is [tex]\mathbf{11.17~m/s^2}[/tex]

Answer:

coral reef

Explanation:

Answer:C,(Calcium,an alkaline earth metal with an oxidation number of +2 will form an ionic bond with chlorine,a halogen in group VllA with an oxidation number of -1 called calcium chloride (CaCl2)

Explanation:

on USAtestprep !!

Calcium, an alkaline earth metal with an oxidation number of +2 will form

an ionic bond with chlorine, a halogen in group VIIA with an oxidation

number of -1 called calcium chloride (CaCl₂). This is correct statement.

Simply said, the number assigned to each element in a chemical combination is the definition of an oxidation number. The total number of electrons that an atom in a molecule can share, lose, or gain while forming a chemical bond with an atom of a different element is known as the oxidation number.

Also known as oxidation state, oxidation number is a numerical value. But depending on whether we take into account the atoms' electronegativity or not, these phrases might occasionally have a different meaning. In coordination chemistry, the term "oxidation number" is often used.

According to Periodic table:  calcium is a alkaline earth metal with an oxidation number of +2 whereas chlorine is a halogen in group VIIA with an oxidation number of -1. When they reacts chemically, they form an ionic compound named calcium chloride having chemical formula CaCl₂.

Learn more about oxidation number here:

https://brainly.com/question/29100691

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Answer:melting 2020 edge

Explanation:

:)

Answer:

Melting

Explanation:

Answer:

The speed the apple must be thrown in order for it to land in the basket is  2.554 m/s.

Explanation:

Given;

height above the ground, h = 3.0 m

horizontal distance, X = 2.0 m

The time to drop from the given height;

h = ¹/₂gt²

[tex]t = \sqrt{\frac{2h}{g} }\\\\t = \sqrt{\frac{2*3}{9.8} }\\\\t = 0.783 \ s[/tex]

The horizontal speed traveled by the apple is given by;

vₓ = X / t

vₓ = 2 / 0.783

vₓ = 2.554 m/s

Therefore, the speed the apple must be thrown in order for it to land in the basket is  2.554 m/s.

Answer:

Explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question we have

mass = 1.5 × 8

We have the final answer as

Hope this helps you

Answer:

The acceleration of the particle as it travels one semicircle is

[tex]a= \frac{\pi R}{t^2}[/tex]

Explanation:'

Kindly see attached a sketch of a semi-circle

Step one:

given data

velocity =v

let the time taken be t

The path PQM is the distance covered

so distance [tex]d= \pi R[/tex]

we know that time= distance/velocity

t= πR/v

step two:

velocity =distance/time

[tex]velocity=\frac{\pi R}{t}[/tex]

also, we know that acceleration is velocity/time

[tex]a= \frac{\pi R}{\frac{t}{t} }[/tex]

[tex]a= \frac{\pi R}{t}*\frac{1}{t}[/tex]

[tex]a= \frac{\pi R}{t^2}[/tex]

Answer:

knee extension is the muscle function that will be difficult to perform.

Explanation:

Barb was kicked in the anterior thigh. Now, the thigh muscles performs a combined operation of moving the knee and leg and they reside in the following compartments.

- Anterior compartment which is composed of knee joint extension and thigh flexion.

- Lateral Compartment which is composed of the tensor fasciae latae, which is a tiny muscle that abducts and centrally will make the thigh to rotate.

-Medial compartment which involves thigh addiction which is rotating of the thigh around the hips.

- Posterior compartment which involves knee joint flexion and high extension.

Thus, from the different compartments listed above, we can see that the muscles that extend the knee and flex the thigh all lie in the anterior compartment of the upper leg.

Thus, we can conclude that knee extension is the muscle function that will be difficult to perform.

Answer: length,  luminous intensity,mass, time, temperature, electric current, amount of a substance.

Explanation:

This question is incomplete, the complete question is;

A coil consists of 200 turns of wire. Each turn is a square of side 18 cm, and a uniform magnetic field directed perpendicular to the plane of the coil is turned on. If the field changes linearly from 0 to 0.50 T in 0.80 s,

a) what is the magnitude of the induced emf in the coil while the field is changing?

b) if the resistance of the coil is 2.0, what is the magnitude of the induced current in the coil while the field is changing?

Answer:

a) the magnitude of the induced emf in the coil is 4.05 V

b) induced current in the coil I is 2.025 A

Explanation:

Given that;

side of turn a = 18 cm = 0.18 m

no. of turns N = 200

dB = 0.50 T

time t = 0.80 sec

(a)

what is the magnitude of the induced emf in the coil while the field is changing?

we know that the magnetic flux is equal to the product of the magnetic field in a loop and the area of the loop so;

 ∅ = NBA

expression for the electromotive force is expressed as;

∈ = d∅/dt

Now replace NBA for ∅ in the above equation.

∈ = d(NBA) / dt

= NA(dB/dt)

The expression for the area of each square turn is expressed as follows

A = a²

a is the side of the turn

so we substitute the value of a

A = (0.18) ²

A= 0.0324 m²

 As  earlier derived

formula for the electromotive force is as follows:

∈  = NA(dB/dt)

so we substitute all our values

∈ =  (200)(0.0324m²) (0.50T/0.80s)

∈ = 6.48 × 0.625

∈ = 4.05 V

Therefore the magnitude of the induced emf in the coil is 4.05 V

(b)

if the resistance of the coil is 2.0, what is the magnitude of the induced current in the coil while the field is changing?

we know that the current induced in the circuit is equal to the ratio between the electromotive forces to the resistance of the ring so;

I = ∈ / R

given that; resistance of the coil = 2.0

so we substitute

I = 4.05 / 2.0

I = 2.025 A

Therefore induced current in the coil I is 2.025 A