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Pani-rosa [81]
3 years ago
12

A child in a boat throws a 5.80-kg package out horizontally with a speed of 10.0 m/s. The mass of the child is 24.6kg and the ma

ss of the boat is 39.0kg . (Figure 1)
Calculate the velocity of the boat immediately after, assuming it was initially at rest.

Express your answer to three significant figures and include the appropriate units. Enter positive value if the direction of the force is in the direction of the velocity of the box and negative value if the direction of the force is in the direction opposite to the velocity of the box.
Physics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

-0.912 m/s

Explanation:

When the package is thrown out, momentum is conserved. The total momentum after is the same as the total momentum before, which is 0, since the boat was initially at rest.

(m_c + m_b)v_b + m_pv_p = 0

where m_c = 24.6 kg, m_b = 39 kg, m_p = 5.8 kg are the mass of the child, the boat and the package, respectively. , v_p = 10m/s, v_b are the velocity of the package and the boat after throwing.

(24.6 + 39)v_b + 5.8*10 = 0

63.6v_b + 58 = 0

v_b = -58/63.6 = -0.912 m/s

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A batter hits a baseball m = 0.41 kg from rest with a force of F = 81
WITCHER [35]

Answer:

7.0s

Explanation:

Mass = 0.41kg

F= 81N

t = 0.22s

¤ = 29°

Lo = 86m

From impulse equation,

F*t = m* v

81 * 0.22 = 0.41 * v

Vo = 17.82 / 0.41

Vo = 43.46m/s

Vx= velocity across horizontal plane

Vy = velocity across vertical plane

Vx = Vo * cos ¤

Vy = Vo * sin ¤

Vx = 43.46 * cos 30° = 37.64 m/s

Vy = 43.46 sin 30° = 21.73 m/s

Distance travelled across the vertical plane,

L = Lo + Vy *t + ½gt²

0 = 86 + 21.73t - 4.9t²

4.9t² - 21.73t - 86 = 0

Solving for t in the quadratic equation,

t = 6.96 or -10.04

Using the positive root since time can't be negative, t = 6.96 approximately 7.0s

4 0
4 years ago
Why do iron meteorites represent a much higher percentage of finds than of falls?
KiRa [710]

Answer:

Explanation:

Meteorites falls are those which are collected just after knowing it is falling, whereas meteorites find are found at later times.

Iron meteorites have higher percentage of find because people have found that they are useful and have great qualities. They collect such meteorites thus removing them from scientific record.

The iron meteorite consist of iron nickle alloy and is a usable iron source for humans. Iron meteorites are more resistance to weathering and can easily survive atmospheric entry hence are found in large pieces.

Because of all such features, people collect them and make their most of use, hence its find percentage is higher.

6 0
3 years ago
A 3000 kg deck is cantilevered over a beam as shown. It is attached to the house at the other end. Find the force of the beam.
Afina-wow [57]
The beam is acting as the pivot and the weight of the deck acts through its center its gravity, at the midpoint of the deck. 
Center of gravity at: (16 + 4)/2 = 10 ft

Converting 4 ft to meters: 1.22 m
Converting 10 ft to meters: 3.05

F x 1.22 = 3.05 x 3000 x 9.81
F = 73,600 N
4 0
3 years ago
Small force=
Nataliya [291]

Answer:

weight force (i.e. the weight of something)

the force of a bat on the ball.

the force of the hair brush on hair when it is being brushed.

the force of your foot pushing on the pedal when you ride your bike.Explanation:

4 0
3 years ago
Why can't alpha particles penetrate deeply into solids? Alpha particles have low mass. Alpha particles have high mass. Alpha par
Juliette [100K]
Alpha particles have both high mass and low velocity, but it would be the former that determines why they can't penetrate. An alpha particle is made of two protons and two neutrons, which is quite a large mass for a particle. This large mass keeps it from penetrating too deeply into anything, since it will essentially "get stuck" when it comes too near to another atom.
So the answer, I believe, is B. Alpha particles have high mass.
7 0
3 years ago
Read 2 more answers
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