Question

In: Physics

3: A 975kg car (mass includes the driver) crosses the rounded top of a hill (radius...

3: A 975kg car (mass includes the driver) crosses the rounded top of a hill (radius 88m) at 18 m/s.

a: What is the normal force exerted by the road on the car?

b: What is the normal force exerted by the car on 62kg driver?

c: At what speed does the normal force on the driver equal zero?

Solutions

Expert Solution

At the top of the hill , the normal force acts in upward direction while the weight of the car and the the centripetal force acts in downward direction.

Considering all force in vartical direction we can find the normal force.


Related Solutions

A 975-kg car (including the driver) crosses the rounded top of a hill of radius 88...
A 975-kg car (including the driver) crosses the rounded top of a hill of radius 88 m at a speed of 12 m.s-1. Calculate: (i) the normal force exerted on the car by the road (ii) the normal force exerted by the car on the 72-kg driver (iii) the sped of the car at which the normal force on the driver is zero.
A car drives over the top of a hill that has a radius of 55 m...
A car drives over the top of a hill that has a radius of 55 m . What maximum speed can the car have without flying off the road at the top of the hill?
. A lorry with mass 3500 kg is parked at the top of a steep hill...
. A lorry with mass 3500 kg is parked at the top of a steep hill with a 1–in–8 gradient when its handbrake fails. Assume that the lorry has a constant frictional resistance to motion of 500 N. The lorry rolls 40 m down the hill before crashing into a lamp post. Use the principle of conservation of energy to calculate the velocity of the lorry immediately prior to its impact with the lamp post.
a 1m radius cylinder with a mass of 852.9 kg rolls without slipping down a hill...
a 1m radius cylinder with a mass of 852.9 kg rolls without slipping down a hill which is 82.1 meters high. at the bottom of the hill what friction of its total kinetic energy is invested in rotational kinetic energy
You push a box of mass 19.1 kg with your car up to an icy hill...
You push a box of mass 19.1 kg with your car up to an icy hill slope of irregular shape to a height 5.9 m. The box has a speed 12.9 m/s when it starts up the hill, the same time that you brake. It then rises up to the top (with no friction) to a flat area before sliding into a box larger box of mass 13 kg. The boxes then fall off a sheer cliff together to the...
You push a box of mass 17.4 kg with your car up to an icy hill...
You push a box of mass 17.4 kg with your car up to an icy hill slope of irregular shape to a height 5.1 m. The box has a speed 11.8 m/s when it starts up the hill, the same time that you brake. It then rises up to the top (with no friction) to a flat area before elastically colliding with a smaller box of mass 12 kg. The boxes then fall off a sheer cliff individually to the...
A road heading due east passes over a small hill. You drive a car of mass...
A road heading due east passes over a small hill. You drive a car of mass mat constant speed over the top of the hill, where the shape of the roadway is well approximated as an arc of a circle with radius R. Sensors have been placed on the road surface there to measure the downward force that cars exert on the surface at various speeds. The table gives values of this force versus speed for your car is shown...
A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a...
A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a length of 40 cm is rolling across a horizontal floor with a linear speed of 12 m/s. The cylinder then comes to a ramp, and, as it is rolling up this ramp without slipping, it is slowing down. When the cylinder finally comes to a stop and begins rolling back down the ramp, how high is it above the floor?
A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A.
A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A. The toy car is released from rest, rolls 2.0 meters down the ramp, then another 3.0 meters across the floor to point B where its speed is measured to be 4.24 m/s. The air exerts a resistance force of 2.0 N on the car as it moves from A to B. Find the initial height of the car at...
6. A motor car, of a total mass 1400 kg, running in top gear at 55...
6. A motor car, of a total mass 1400 kg, running in top gear at 55 km/h, passes on to a rsing gradient of 1 in 20 at that speed. The road and other resistances may be taken as constant at 270 N/t. With condition unchanged, the speed falls uniformly to 40 km/h in a distance of 360 m. An intermediate gear is then engaged for which the speed ratio between the engine and the road wheels is 9:1 and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT