you are driving your new car 14.0m/s east when you slam on your brakes to avoiavoid having your first collision. The force of friction on your car tires is 1.5kN and the combined mass of your car is 1200kg. Detemine the (a). direction of the frictional force causing your car to slow. (b) distance you skid before coming to stop.

a=F/m,

s=v^2/2a

a motor car is on the verge of skidding when travelling at 48 km/h on a level road around a curvature of 30 m radius find the coefficient of friction between the type and ground

a motor car is on the verge of skidding when travelling at 48 km/h on a level road around a curvature of 30m radius find the coefficient of friction between the type and ground

To determine the direction of the frictional force causing your car to slow down, we need to consider the opposing force acting against the direction of motion. In this case, since you are driving east and want to slow down, the frictional force will act in the opposite direction, which is west.

Now, let's calculate the distance you skid before coming to a stop.

We can use the concept of kinetic friction to calculate the deceleration (negative acceleration) experienced by the car. The formula for calculating the force of friction is:

Frictional Force (F) = mass (m) × acceleration (a)

Given:
Force of friction (F) = 1.5 kN (convert to Newtons by multiplying by 1000: 1 kN = 1000 N)
Combined mass of your car (m) = 1200 kg

Rearrange the formula to solve for acceleration (a):

a = F / m

Now, let's substitute the values:

a = (1.5 × 1000 N) / 1200 kg

Solve for acceleration:

a ≈ 1.25 m/s²

Next, we can use the kinematic equation to find the distance (d) traveled before coming to a stop:

v² = u² + 2as

Where:
u = initial velocity = 14.0 m/s (east) [negative because you're decelerating]
v = final velocity = 0 m/s (since you come to a stop)
a = acceleration = -1.25 m/s² (negative due to deceleration)
s = distance

Rearrange the equation to solve for distance (s):

s = (v² - u²) / (2a)

Substitute the values:

s = (0 m/s)² - (14.0 m/s)² / (2 × -1.25 m/s²)

Simplify:

s = -196 m²/s² / -2.5 m/s²

s ≈ 78.4 m

Therefore, you skid approximately 78.4 meters before coming to a stop.