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rosijanka [135]
3 years ago
5

. During a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from th

e wall. If the time the ball was in contact with the wall was 60.0 ms, what was the magnitude of the average force applied to the ball?

Physics
2 answers:
luda_lava [24]3 years ago
7 0

The magnitude of the average force applied to the ball was about 107 N

\texttt{ }

<h3>Further explanation</h3>

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

\large {\boxed {F = ma }

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

\texttt{ }

<u>Given:</u>

initial velocity of the ball = u = -20.0 m/s

final velocity of the ball = v = 12.0 m/s

contact time = t = 60.0 ms = 0.06 s

mass of the ball = m = 0.200 kg

<u>Asked:</u>

average force applied to the ball = F = ?

<u>Solution:</u>

<em>We will use this following formula to solve this problem:</em>

\Sigma F = ma

F = m ( v - u ) \div t

F = 0.200 ( 12 - (-20) ) \div 0.06

F = 0.200 ( 32 ) \div 0.06

F = 6.4 \div 0.06

F = 106 \frac{2}{3} \texttt{ N}

F \approx 107 \texttt{ N}

\texttt{ }

<h3>Learn more</h3>
  • Impacts of Gravity : brainly.com/question/5330244
  • Effect of Earth’s Gravity on Objects : brainly.com/question/8844454
  • The Acceleration Due To Gravity : brainly.com/question/4189441
  • Newton's Law of Motion: brainly.com/question/10431582
  • Example of Newton's Law: brainly.com/question/498822

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Dynamics

\texttt{ }

Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant

mixer [17]3 years ago
5 0

Answer:

106.7 N

Explanation:

We can solve the problem by using the impulse theorem, which states that the product between the average force applied and the duration of the collision is equal to the change in momentum of the object:

F \Delta t = m (v-u)

where

F is the average force

\Delta t is the duration of the collision

m is the mass of the ball

v is the final velocity

u is the initial velocity

In this problem:

m = 0.200 kg

u = 20.0 m/s

v = -12.0 m/s

\Delta t = 60.0 ms = 0.06 s

Solving for F,

F=\frac{m(v-u)}{\Delta t}=\frac{(0.200 kg) (-12.0 m/s-20.0 m/s)}{0.06 s}=-106.7 N

And since we are interested in the magnitude only,

F = 106.7 N

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Answer:

Time, t = 0.23 seconds

Explanation:

It is given that,

Initial speed of the ranger, u = 52 km/h = 14.44 m/s

Final speed of the ranger, v = 0 (as brakes are applied)

Acceleration of the ranger, a=-4\ m/s^2

Distance between deer and the vehicle, d = 87 m

Let d' is the distance covered by the deer so that it comes top rest. So,

d'=\dfrac{v^2-u^2}{2a}

d'=\dfrac{-(14.44)^2}{2\times -4}

d' = 26.06 m

Distance between the point where the deer stops and the vehicle is :

D=d-d'

D=87 - 26.06 = 60.94 m

Let t is the maximum reaction time allowed if the ranger is to avoid hitting the deer. It can be calculated as :

t=\dfrac{v}{D}

t=\dfrac{14.44}{60.94}

t = 0.23 seconds

Hence, this is the required solution.

4 0
3 years ago
Calculate the work done by an applied force of 76.0 N on a crate for the following. (Include the sign of the value in your answe
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Answer:

a) 400.4Joules

b) 262.69Joules

Explanation:

Work is said to be done if the force applied to an object cause the object to move through a distance

Workdone = Force × Distance

Given

Force = 76N

Distance= 5.2m

Work done = 77 × 5.2

Work done = 400.4Joules

b) If the force is exerted at an angle of 41°

Work done = Fdsin theta

Work done = 77(5.2)sin41

Work done = 400.4sin41

Work done = 262.69Joules

6 0
2 years ago
a ball is dropped from rest at a height of 89m above the ground. (a)what is it's speed just before it hits the ground? (b) how l
kykrilka [37]

Answer:

(a) 41.75m/s

(b) 4.26s

Explanation:

Let:

 Distance, D = 89m

 Gravity, g = 9.8 m/s^{2}

Initial Velocity, u = 0m/s

Final Velocity, v = ?

Time Taken, t = ?

With the distance formula, which is

D = ut + \frac{1}{2} gt^2

and by substituting what we already know, we have:

89 = \frac{1}{2}×9.8×t^{2}

With the equation above, we can solve for t:

t=\sqrt{\frac{89(2)}{9.8}} \\t=\sqrt{\frac{178}{9.8} } \\t=\sqrt{18.16} \\t=4.26 seconds

Now that we have solved t, we can use the following velocity formula to solve for v:

v = u + at, where a is also equals to g, so we have

v = u + gt

By substituting u = 0, g = 9.8, and t = 4.26,

We have:

v = 0 + 9.8(4.26)\\v = 41.75m/s

4 0
3 years ago
A light year is defined as the distance that light can travel in 1 year. What is the value of 1 light year in meter? Show your c
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Answer:

d=9.462×10^15 meters

Explanation:

<u>Relation between distance, temps and velocity:</u>

d=v*t

t=1year*(365days/1year)*/(24hours/1day)*(3600s/1h)=31536000s

So:

1 light year=d=3*10^8m/s*3.154*10^7s=9.462×10^15 meters

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Answer:20 minutes

Explanation:

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