An astronaut in space cannot use a scale or balance to weigh objects because there is no gravity. But she does have devices to m
1 answer:
Answer:
93.33 kg
Explanation:
We are given that
Mass of astronaut=m'=78.4 kg
Initial velocity of canister,u=3.4 m/s
Final velocity of canister,v=1.3 m/s
Initial velocity of astronaut=u'=0
Final velocity of astronaut,v'=2.5 m/s
We have to find the mass of canister.
According to law of conservation of momentum
Using the formula
Mass of canister=93.33 kg
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Answer:
Approximately (assuming that the acceleration due to gravity is
.)
Explanation:
Let denote the first piston's contact area with the fluid. Let
denote the second piston's contact area with the fluid.
Similarly, let and
denote the size of the force on the two pistons. Since the person is placing all her weight on the first piston:
.
Since both pistons fit into cylinders, the two contact surfaces must be circles. Keep in mind that the area of a square is equal to times its radius, squared:
.
.
By Pascal's Law, the pressure on the two pistons should be the same. Pressure is the size of normal force per unit area:
.
For the pressures on the two pistons to match:
.
,
, and
have all been found. The question is asking for
. Rearrange this equation to obtain:
.
Evaluate this expression to obtain the value of , which represents the force on the piston with the larger diameter:
.
The final velocity is +15.0 m/s
Explanation:
The motion of the cart is a uniformly accelerated motion (=at constant acceleration), therefore we can use the following suvat equation:
where
v is the velocity at time t
u is the initial velocity
a is the acceleration
t is the time
For the cart in this problem, we have:
u = +3.0 m/s (initial velocity)
(acceleration)
t = 8.0 s (time)
Substituting, we find the final velocity:
Learn more about accelerated motion:
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