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Find the average net force.

Find the average net force.-example-1

2 Answers

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Answer:

given

mass= 3.5 kg

distance covered= 0.4m

inital speed = 1.5 m/sec

final speed = 0 m/sec

To find

net force

solution

formula for force :


\fbox{f = m.a}

In order to find the force we need to find the acceleration.

According to third equation of Kinematics-


\bold{ {v}^(2) = {u}^(2) + 2as}

where,

v= final velocity

u=inital Velocity

a=Acceleration

s=Distance covered

put the value in the above equation

0= (1.5)²+ 2a x 0.4

-2.25= 0.8a

a = -2.25/0.8

a= - 2.8125 m/sec²

now put the value 0f accleration in formula of force

F = m.a

F = 3.5 x - 2.8125

F= -9.84375 N

User Newgennerd
by
7.0k points
2 votes

The average net force required to stop a 3.5 kg bowling ball initially traveling at 1.5 m/s over a distance of 0.4 m is 9.84375 N, directed opposite to the ball's initial motion.

To calculate the average net force required to stop a 3.5 kg bowling ball, we can use the work-energy principle.

The work done by the stopping force is equal to the change in kinetic energy of the bowling ball.

The initial kinetic energy (KE) of the bowling ball is given by (1/2)mv², where m is the mass of the ball and v is its initial velocity.

KE_initial = (1/2)(3.5 kg)(1.5 m/s)² = 3.9375 J

Since the ball comes to a stop, its final kinetic energy is 0 J. The work done (W) by the force to stop the ball is equal to this change in kinetic energy, which is -3.9375 J (negative because the ball is slowing down).

W = -KE_initial = -3.9375 J

Work is also equal to the force times the distance (W = Fd), so we can solve for the average force (F).

-3.9375 J = F(0.4 m)

F = -3.9375 J / 0.4 m = -9.84375 N

The negative sign indicates that the force is in the opposite direction of the ball's initial motion. Hence, the magnitude of the average net force required is 9.84375 N.

User David Von Tamar
by
6.7k points