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A pitched ball is hit by a batter at a 47◦ angle. It just clears the outfield fence, 98 m away. The acceleration of gravity is 9

musickatia [10]

Answer:u=31.02 m/s

Explanation:

Given

launch angle of ball $\theta =47^{\circ}$

Range of ball $R=98 m$

considering ball to be a Projectile

Range of Projectile is given by

$R=\frac{u^2\sin 2\theta }{g}$

Where $u=initial\ Velocity$

$\theta =launch\ angle$

$g=acceleration\ due\ to\ gravity$

$98=\frac{u^2\sin 2(47)}{9.8}$

$98\times 9.8=u^2\sin (94)$

$u^2=\frac{960.4}{sin (94)}$

$u^2=962.74$

$u=31.02 m/s$

5 0

3 years ago

Suppose that when you move the north pole of a bar magnetic toward a coil it induces a positive current in the coil. The strengt

dolphi86 [110]

Answer:

a) A positive current will be induced in the coil

Explanation:

Electromagnetic induction is the induction of an electric field on a conductor due to a changing magnetic field flux. The change in the flux can be by moving the magnet relative to the conductor, or by changing the intensity of the magnetic field of the magnet. In the case of this electromagnets, the gradual increase in the the electromagnet's field strength will cause a flux change, which will in turn induce an electric current on the coil.

According to Lenz law, the induced current acts in such a way as to negate the motion or action that is producing it. A positive current will be induced on the coil so as to repel any form of attraction between the north pole of the electromagnet and the coil. This law obeys the law of conservation of energy, since work has to be done to move the move them closer to themselves.

3 0

3 years ago

A hobby rocket reaches a height of 72.3 m and lands 111 m from the launch point with no air resistance. What was the angle of la

Deffense [45]

Answer:

The angle of launch is 52.49 Degree.

Explanation:

The Range R and Height H of a thrown object is calculated using the formula,

R=V₀² sin(2φ)/g

H=V₀²sin²(φ)/g

From these equations it can be written,

V₀²=R g/ sin(2φ)

V₀²=H g/ sin²(φ)

These values are equal so it can be written by equating these equations,

R g/sin(2φ)=H g/sin²(φ)

tan(φ)= 2H/R

Given H=72.3 m and R=111 m, the angle of launch is,

tan(φ)= 2*72.3/111

φ= 52.49 Degree.

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7 0

2 years ago

A ball is tossed vertically upwards with a speed of 5.0 m s–1. After how many seconds will the ball return to its initial positi

mezya [45]

Answer:

1.02 seconds

Explanation:

Initial velocity = u = 5 m/s

t = Time taken

s = Displacement travelled = 0

a = Acceleration due to gravity = -9.81 m/s² (negative sign due to direction)

Equation of motion

$s=ut+\frac{1}{2}at^2\\\Rightarrow 0=5t+\frac{1}{2}-9.81\times t^2\\\Rightarrow 0=5t-4.905t^2\\\Rightarrow 0=t(5-4.905t)\\\Rightarro 0=5-4.905t\\\Rightarrow t=\frac{-5}{-4.905}=1.02\ seconds$

So, time taken to return to its initial position is 1.02 seconds

7 0

4 years ago

Which of these should be avoided in order to prevent heart diseases and disorders?

White raven [17]

Answer:

drugs and alcohol

Explanation:

All the others will help your body, while drugs and alcohol will only harm it .

4 0

3 years ago

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