1. Susie wondered if the height of a hole punched in the side of a quart-size milk carton would affect how far from the containe

Response:

The man's speed is 0.144 m/s

Explanation:

This exemplifies conservation of momentum.

The momentum of the ball prior to being caught must equal the momentum of the man-ball system after catching the ball.

Mass of the ball = 0.65 kg

Mass of the man = 54 kg

Speed of the ball = 12.1 m/s

The momentum of the ball before impact can be calculated as mass multiplied by velocity

= 0.65 x 12.1 = 7.865 kg-m/s

After catching the ball, the momentum of the combined system is

(0.65 + 54)Vf = 54.65Vf

Where Vf denotes their final shared velocity.

Setting the initial momentum equal to the final momentum,

7.865 = 54.65Vf

Vf = 7.865/54.65 = 0.144 m/s

The answer is

-Small f and large D.

The explanation:

-A car jack acts as a machine, defined as an apparatus that aids individuals in exerting force more easily.

-Hence, by applying a small force to the jack, the height at which the car is elevated increases.

Machines are essential for people to amplify their strength; without them, lifting a car would be impossible.

Employing leverage or hydraulic principles, machines enhance your exerted force.

Utilizing a greater lever allows for extensive movement with minimal force, resulting in the opposite side moving shorter distances with an increased force.

Answer:

1)

2)

Explanation:

Projectile Motion

When an object is projected near the surface of the Earth at an angle to the horizontal, it follows a trajectory known as a parabola. The only force acting on it (ignoring wind resistance) is gravity, affecting the vertical axis.

The height of a projectile can be calculated using

where represents the initial height from ground level, is the vertical component of the initial velocity, and t is the elapsed time.

The vertical speed component is expressed as

1) To proceed, we will determine the initial vertical velocity component since we lack sufficient data to calculate the absolute value of .

The peak height is attained when , which allows us to compute the time to reach that height.

Solving for

Thus, the maximum height reached is

We know this value is equal to 8 meters

Continuing with the calculations for

Substituting known values yields

2) At t=1.505 seconds, the ball is positioned above Julie’s head; we can calculate

Response:

(A) 4* 6 ^ ⁻6 T m² (B) 2 * 10 ^ ⁻6 v

Clarification:

Solution

Given that:

A refrigerator magnet with a depth of approximately 2 mm

The estimated magnetic field strength of the magnet is = 5 m T

The Area = 8 cm²

Now,

(A) The magnetic flux ΦB = BA

Therefore,

ΦB = (5 * 10^⁻ 3) ( 4 * 10 ^⁻2) * ( 2 * 10^ ⁻2) Tm²

Thus,

ΦB = 4* 6 ^ ⁻6 T m²

(B) By employing Faraday's Law, the subsequent equation applies:

Ε = Bℓυ

Where,

ℓ = 2 cm equals 2 * 10 ^⁻2 m

B = 5 m T = 5 * 10 ^ ⁻3 T

υ = 2 cm/s = 2 * 10 ^ ⁻2 m/s

Therefore,

Ε = (5 * 10 ^ ⁻3 T) * (2 * 10 ^ ⁻2) (2 * 10 ^ ⁻2) v

E =2 * 10 ^ ⁻6 v