Balance the following equations:

a vehicle starts from rsst and after 10 seconds its velocity is 20m/s find the acceleration and the distance travelled.(step by

Naily [24]

Answer:

Acceleration is 2 m/s²

Distance is 100 m

Explanation:

From definition of acceleration, Acceleration is the rate of change in velocity.

• Simplifying the definition, or modifying it;

${ \boxed{ \rm{acceleration = \frac{(final \: velocity - initial \: velocity)}{time} }}}$

• Let's formulate symbols:

${ \boxed{ \rm{a = \frac{v - u}{t} }}}$

a is acceleration
v is final velocity, v = 20 m/s
u is initial velocity, u = 0 m/s [ at rest ]
t is time, t = 10 seconds

${ \rm{a = \frac{20 - 0}{10} = \frac{20}{10} }} \\ \\{ \boxed{ \rm{ \: a = 2 \: {ms}^{ - 2} }}}$

Distance = ut + ½at²

Distance = (0 × 10) + (½ × 2 × 10²)

Distance = 0 + 10²

Distance = 100 meters

8 0

3 years ago

Which of the following statements about electromagnetic waves in free space are true? (There could be more than one correct choi

Vanyuwa [196]

Answer:

The electric field carries the same mount of energy as the magnetic field

The frequency of the magnetic field is the same as the frequency of the electric field.

Explanation:

Let's analyze each option in detail:

The electric and magnetic fields have equal amplitudes. --> FALSE. In fact, the amplitudes of the electric and magnetic field are related by the equation:

$E=cB$

where

E is the amplitude of the electric field

B is the amplitude of the magnetic field

c is the speed of light

Therefore, from the equation we see that the amplitude of the electric field is much larger than that of the magnetic field.

The electric field carries the same mount of energy as the magnetic field. --> TRUE.

The energy carried by the electric field is:

$u_E = \frac{1}{2}\epsilon_0 E^2$

where $\epsilon_0$ is the vacuum permittivity.

The energy carried by the magnetic field is:

$u_B = \frac{1}{2\mu_0}B^2$

where $\mu_0$ is the vacuum permeability.

Given the following relationship:

$c=\frac{1}{\sqrt{\epsilon_0 \mu_0}}$

We can write

$E=cB=\frac{1}{\sqrt{\epsilon_0 \mu_0}}B$

So

$u_E = \frac{1}{2}\epsilon_0 (\frac{1}{\sqrt{\epsilon_0 \mu_0}}B)^2=\frac{1}{2\mu_0}B^2$

which means $u_E=u_B$ .

The electric field carries more energy than the magnetic field. --> FALSE, because in disagreement with the calculations above.

The frequency of the magnetic field is the same as the frequency of the electric field. --> TRUE. In an electromagnetic waves, electric field and magnetic field oscillate at the same frequency.

The frequency of the electric field is higher than the frequency of the magnetic field. --> FALSE, because in disagreement with the previous statement.

8 0

3 years ago

the velocity of a curling stone is due east. what will be the direction of the momentum of the curling stone as it moves?

kirill [66]

East.
momentum = mass x velocity
the direction of the momentum is the same as that of velocity.

8 0

3 years ago

Read 2 more answers

Diego is trying to lift a piano to the second floor of his house. Diego uses a pulley system and gives a big lift to the piano.T

Mila [183]

Answer:

Correct Answer is positive force → balanced force → negative force

Explanation:

When Diego gives a big lift to the piano with the help of pulley system that time, initially piano moves upward so positive force acts on it.

Later, Piano stops, in this condition balanced force act on it since force applied by Diego is balanced by gravitational force of earth.

After some time piano starts falling in this condition negative force will act on the piano. In this condition, gravitational force will acts on piano in downward direction.

3 0

4 years ago

Read 2 more answers

While skateboarding at 19 km/h throwning a tennis ball at 11 km/h what is the speed of the ball

Lina20 [59]

According to whom ?

So YOU're on your skateboard, and there's somebody else, sitting on HIS porch, watching you skate by on your board.

-- The man on the porch says you're skating by him at 19 km/hr .

-- You throw a tennis ball.

. . . . . Do you throw it in the same direction that you're skateboarding, or do you throw it away behind you, toward the place you just came from ?

. . . . . Does it fly away from YOU at 11 km/hr ? Or does it fly past the man on the porch at 11 km/hr ?

There are 4 possible combinations. One of them is not possible. Each of the other three combinations leads to two different answers to the question. And ALL six answers are correct !

1). You throw the ball forward, in the same direction you're skating. It flies away from your hand at 11 km/hr.

To you, the speed of the ball is 11 km/hr, in the direction you're skating. To the man on the porch, it's 30 km/hr, in the direction you're skating.

2). You throw the ball forward, in the same direction you're skating. It flies past the porch at 11 km/hr.

This isn't possible.

3). You throw the ball backward, toward where you just came from. It flies away from YOU at 11 km/hr.

To you, the speed of the ball is 11 km/hr, in the direction backward from you. To the man on the porch, the speed of the ball is 10 km/hr in the direction you're skating.

4). You throw the ball backward, toward where you just came from. It flies past the porch at 11 km/hr.

To you, the speed of the ball is 8 km/hr, in the direction backward from you. To the man on the porch, it's 11 km/hr in the direction you're skating.

NOW you're going to ask me "But what's the REAL speed of the ball ?"

The answer to THAT one is: There's no such thing ! It all depends on WHO's measuring it ... where that observer is and how HE's moving.

The displacement, speed, velocity, acceleration, and energy of the ball, ALL depend on who's watching it and measuring it.

I'll be interested to see whether you mark this answer 'Brainliest', or report it because it's weird, confusing, and ridiculous.

3 0

4 years ago