Question

Jason takes off across level water on his jet-powered skis. The combined mass of Jason and his skis is 75 kg (the mass of the fuel is negligible). The skis produce a forward thrust of 200 N and have a coefficient of kinetic friction with water of 0.10. Unfortunately, the skis run out of fuel after only 90 s. What is Jason's top speed?

Answer options:

150 m/s

240 m/s

24 m/s

90 m/s

Answer #1

Given,

Mass of jason and his skis=m = 75kg

Thrust produced by skis (T) = 200N

Coefficient of kinetic friction(k)= 0.10

Time = 90 sec

Take, g= 10m/s^2

Since the friction force acts against the direction of thrust.

Therefore,

Net force (Fn)= m x a

Thrust - friction force = m x a

200 - 0.1 x 75 x 10 = 75 x a

125= 75 x a

**a = 1.66m/s^2 (a is accelaration)**

**Now let us use the equation if motion**

**V = u + at **

**here v= velocity at t=90 s**

**u = initial velocity**

**v = u + at**

**v = 0+ 1.66 x 90**

**V = 150m/s**

**Therefore**

**Maximum velocity was 150m/s**

**Thus option 1 is correct**

Jason takes off across level water on his jet-powered skis. The
combined mass of Jason and his skis is 75kg (the mass of the the
fuel is negligible). The skis produce a forward thrust of 200 N and
have a coefficient of kinetic friction with water of 0.10.
Unfortunately, the skis run out of fuel after only 41 seconds. How
far from his starting point has Jason traveled when he finally
coasts to a stop?
Correct answer: 3900m Show with...

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