8.) If a car moving at 50km/h skids 15m with locked brakes, how far does the same car moving at 100km/h skid with locked brakes?
a. 15m
b. 30m
d. 120m
c. 60m

9.) A lever is used to lift a heavy load. When a 50N force pushes one end of the lever down 1.2m, the load
rises 0.12m. What is the approximate mass (not weight) of the load?
a. 50kg
c. 100kg
d. 500kg
b. 5kg

10.) A block and tackle is used to lift a tractor that weights 210,000N a distance of 10m above the ground. The
maximum force you are able to supply is about 700N. Assuming that you must use every bit of your maximum
force in lifting the tractor (i. e. the tractor begins to rise when you pull with 700N), what length of rope will you
have to pull?

(8) A car starting with a speed v skids to a stop over a distance d, which means the brakes apply an acceleration a such that

0² - v² = 2 a d → a = - v² / (2d)

Then the car comes to rest over a distance of

d = - v² / (2a)

Doubling the starting speed gives

- (2v)² / (2a) = - 4v² / (2a) = 4d

so the distance traveled is quadrupled, and it would move a distance of 4 • 15 m = 60 m.

Alternatively, you can explicitly solve for the acceleration, then for the distance:

A car starting at 50 km/h ≈ 13.9 m/s skids to a stop in 15 m, so locked brakes apply an acceleration a such that

0² - (13.9 m/s)² = 2 a (15 m) → a ≈ -6.43 m/s²

So the same car starting at 100 km/h ≈ 27.8 m/s skids to stop over a distance d such that

0² - (27.8 m/s)² = 2 (-6.43 m/s²) d → d ≈ 60 m

(9) Pushing the lever down 1.2 m with a force of 50 N amounts to doing (1.2 m) (50 N) = 60 J of work. So the load on the other end receives 60 J of potential energy. If the acceleration due to gravity is taken to be approximately 10 m/s², then the load has a mass m such that

60 J = m g h

where g = 10 m/s² and h is the height it is lifted, 1.2 m. Solving for m gives

m = (60 J) / ((10 m/s²) (1.2 m)) = 5 kg

(10) Is this also multiple choice? I'm not completely sure, but something about the weight of the tractor seems excessive. It would help to see what the options might be.