Answer:
3.196 m/s
Explanation:
Parameters given:
Mass of Brittany and the skateboard, M = 62 kg
Mass of pumpkin, m = 3.7 kg
Initial speed of Brittany and the skateboard, U = 0 m/s
Final velocity of Brittany, the skateboard and the pumpkin, V = v = 0.18 m/s
We can solve this problem by applying the principle of conservation of momentum.
It states that the total final momentum of a system is equal to the total initial momentum of the system.
M*U + m*u = M*V + m*v
Where u is the initial velocity of the pumpkin.
Since the final velocity of Brittany and the skateboard is equal to the final velocity of pumpkin:
M*U + m*u = (M + m) *v
Solving this to get u:
(62 * 0) + (3.7 * u) = (62 + 3.7) * 0.18
0 + 3.7u = 65.7 * 0.18
3.7u = 11.826
u = 11.826 / 3.7
u = 3.196 m/s
The initial velocity of the pumpkin was 3.196 m/s.
Answer:
4.99 mg of vitamin C are in the beaker.
Explanation:
Given that,
Weight of vitamin = 0.0499 g
Molar mass = 176.124 g/mol
Weight of water = 100.0 ml
We need to calculate the mg of vitamin C in the beaker
We dissolve 0.0499 g vitamin C in water to from 100.0 ml solution.
100 ml solution contain 49.9 mg vitamin C
Now, we take 10 ml of this vitamin C solution in breaker
Since, 100 ml solution =49.9 mg vitamin C
Therefore,


Hence, 4.99 mg of vitamin C are in the beaker.
Answer: 9000 kgm/s
Explanation:
Mass of car = 1500 kg
Speed by which car moves = 6 m/s. Momentum of the car = ?
Recall that:
Linear momentum = Mass x Speed
= 1500kg x 6m/s
= 9000 kgm/s
Thus, the linear momentum of the car is 9000 kgm/s
The final speed of the orange is 7.35 m/s
Explanation:
The motion of the orange is a free fall motion, since there is only the force of gravity acting on it. Therefore, it is a uniformly accelerated motion with constant acceleration
towards the ground. So we can use the following suvat equation:

where
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time elapsed
For the orange in this problem, we have
u = 0 (it is dropped from rest)
is the acceleration
Substituting t = 0.75 s, we find the final velocity (and speed) of the orange:

Learn more about free fall:
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