An astronaut working with many tools some distance away from a spacecraft is stranded when the "maneuvering unit" malfunctions.
1 answer:
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To solve this problem we will apply the concept related to the moment, which describes the change in speed in proportion to the body mass. The momentum can be described under the general equation
Where,
m = mass
v = Velocity
The change in momentum is the difference between the final moment and the initial moment
Where,
Final momentum
Initial momentum
After catching the ball, the ball comes to rest position and speed of the ball is zero.
The change in momentum on catching the ball is
The momentum during the catching of the ball is
Now during deflection of the ball, we know that there is an initial momentum and a negative final momentum because it moves with the same speed but in the opposite direction, that is
The momentum is negative since during deflection the ball moves with same speed in opposite direction
Therefore, the correct ansswer is B: catch the ball in order to minimize your speed on the skateboard
Answer:
(a)
(b)
(c) 1235.06N and 252.05 as a ratio
Explanation:
From Newton's second law of motion
F=ma where m is mass, a is acceleration and F is net force
Also from kinetic equation of motion, velocity and displacement are related using equation
Where v is final velocity, u is initial velocity, a is acceleration and s is displacement
From the free body diagram attached, final velocity at maximum height is 0 and initial velocity is
Also, the vertical component can be written as
The negative sign before 2gs means displacement is opposite the gravitational force
Where g is acceleration due to gravity, is vertical component of initial velocity and
is vertical component of final velocity
Since is 0
s=110 and g is taken as 9.8
Also, it's evident that the vertical component of initial velocity is where
is angle of projection and
is resultant velocity
Making the subject we obtain
Since and
are known as
and
respectively, then
Therefore, the velocity of potato is
(b)
Displacement depends on length of tube hence s=0.450m hence going back to kinetic equation
The final velocity v is answer in part a which is , initial velocity u is
hence the equation is re-written as
and making a the subject we obtain
Therefore, average acceleration is
(c)
From Newton's second law of motion, F=ma where m=0.500kg and a is
Therefore, the average force of potato is
F=0.5*2470.13=1235.06N
F=1235.06N
The weight, W of potato is given by W=mg
Taking R as ratio of average force and weight of potato
and since F=1235.06, m=0.500kg and g=9.8
=252.05
Therefore, ratio of average force to weight is 252.05
