physics
posted by Matt .
A 2.9 × 103 kg car accelerates from rest at
the top of a driveway that is sloped at an
angle of 16.0 with the horizontal. An average
frictional force of 4.2×103 N impedes the car’s
motion so that the car’s speed at the bottom
of the driveway is 4.6 m/s.
The acceleration of gravity is 9.81 m/s2 .
What is the length of the driveway?

x = unknown length of driveway
distance it fell: h = x sin 16
potential energy lost = m g h = m g x sin 16
Ke gained = (m/2)(4.6)^2
difference = work done by friction = 4.3*10^3 * x
so
m g x sin 16 = (m/2)4.6^2 + 4.3*10^3 x
Respond to this Question
Similar Questions

physics
A 2.10 103 kg car starts from rest at the top of a 5.8 m long driveway that is sloped at 25° with the horizontal. If an average friction force of 4.0 103 N impedes the motion, find the speed of the car at the bottom of the driveway. 
physics
A 2.1 103kg car starts from rest at the top of a 5.9mlong driveway that is inclined at 19° with the horizontal. If an average friction force of 4.0 103 N impedes the motion, find the speed of the car at the bottom of the driveway. … 
physics
A 2.1 103kg car starts from rest at the top of a 5.9mlong driveway that is inclined at 19° with the horizontal. If an average friction force of 4.0 103 N impedes the motion, find the speed of the car at the bottom of the driveway. 
Physics
A 4.2 × 10^3 kg car accelerates from rest at the top of a driveway that is sloped at an angle of 18.4◦ with the horizontal. An average frictional force of 4.1×10^3 N impedes the car’s motion so that the car’s speed at the … 
physics
A 2.1 multiplied by 103kg car starts from rest at the top of a 5.8mlong driveway that is inclined at 22° with the horizontal. If an average friction force of 4.0 multiplied by 103 N impedes the motion, find the speed of the car … 
physics
A 3.1 × 103 kg car accelerates from rest at the top of a driveway that is sloped at an angle of 19.5◦ with the horizontal. An average frictional force of 4.4×103 N impedes the car’s motion so that the car’s speed at the … 
Physics
A 3.5 × 103 kg car accelerates from rest at the top of a driveway that is sloped at an angle of 16.9◦ with the horizontal. An average frictional force of 4.1×103 N impedes the car’s motion so that the car’s speed at the … 
Physics
A 3.5 × 103 kg car accelerates from rest at the top of a driveway that is sloped at an angle of 16.9◦ with the horizontal. An average frictional force of 4.1×103 N impedes the car’s motion so that the car’s speed at the … 
Physics
A 3.5 × 103 kg car accelerates from rest at the top of a driveway that is sloped at an angle of 16.9◦ with the horizontal. An average frictional force of 4.1×103 N impedes the car’s motion so that the car’s speed at the … 
Physics
A 4.0 × 103 kg car accelerates from rest at the top of a driveway that is sloped at an angle of 19.6◦ with the horizontal. An average frictional force of 4.0×103 N impedes the car’s motion so that the car’s speed at the …