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Phantasy [73]
4 years ago
7

A car is initially moving at 10.5 m/s and accelerates uniformly to reach a speed of 21.7 m/s in 4.34 s. How far did the car move

during this acceleration?
A. 69.9m
B. 6.99m
C. 69.6m/s
D. 6.99m/s
Physics
1 answer:
Zarrin [17]4 years ago
3 0

Answer:

A. 69.9m

Explanation:

Given parameters:

Initial velocity = 10.5m/s

Final velocity  = 21.7m/s

Time  = 4.34s

Unknown:

Distance traveled = ?

Solution:

Let us first find the acceleration of the car;

  Acceleration  = \frac{v - u}{t}

  v is final velocity

   u is initial velocity

   t is the time

     Acceleration  = \frac{21.7 - 10.5}{4.34}   = 2.58m/s²

Distance traveled;

     V² = U² + 2aS

    21.7² = 10.5² + 2 x 2.58 x S

   360.64 = 2 x 2.58 x S

     S = 69.9m

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A 1.20 × 104 kg railroad car moving at 7.70 m/s to the north collides with and sticks to another railroad car of the same mass t
saul85 [17]

Answer: 4.77m/s

Explanation:

According to the law of conservation of momentum which states that the sum total of momentum of bodies before collision is equal to the sum of their momentum after collision. Note that the two bodies will move at a common velocity after colliding.

Let m1 and m2 be the mass of the first and second railroad cars

u1 and u2 be the velocities of the railroad cars

v be the common velocity

Using the formula

m1u1 + m2u2 = (m1 +m2)

m1 = 1.20×10⁴kg

m2 = 1.20×10⁴kg (body of same mass)

u1 = 7.70m/s

u2 = 1.84m/s

v = ?

(1.20×10⁴×7.7) + (1.20×10⁴×1.84) = (1.20×10⁴ + 1.20× 10⁴)v

9.24×10⁴ + 2.21×10⁴ = 2.4×10⁴v

11.45×10⁴ = 2.4×10⁴v

v = 11.45×10⁴/2.4×10⁴

v = 4.77m/s

The velocity of the cars after collision will be 4.77m/s

5 0
3 years ago
A sled is accelerating at 2 m/s2 because it is being pushed on ice by Jenny. Tommy then jumps on the sled (he has the same mass
Radda [10]

Answer:

The acceleration of the total mass decreases by half (1/2)

Explanation:

Given;

acceleration of sled = 2 m/s²

From Newton's second law of motion, F = ma

⇒m = F/a

F is the force applied by Jenny

This force applied by Jenny should be the same, after Tommy jumps on the sled, but the acceleration will change.

F = m₁a₁ = m₂a₂

Since m₂ = 2m₁, then we calculate a₂

m₁a₁ = 2m₁a₂

a₂ = a₁/2

Therefore,The acceleration of the total mass decreases by half.

7 0
3 years ago
if the instantaneous current in the circuit is giveen by I=3 sin theta amperes, the rms value of the current will be
Kisachek [45]

Answer:

I_{rms}=2.12\ A

Explanation:

Given that,

The instantaneous current in the circuit is giveen by :

I=3\sin\theta\ A

We need to find the rms value of the current.

The general equation of current is given by :

I=I_o\sin\theta

It means, I_o=3\ A

We know that,

I_{rms}=\dfrac{I_o}{\sqrt2}\\\\=\dfrac{3}{\sqrt2}\\\\=2.12\ A

So, the rms value of current is 2.12 A.

4 0
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timurjin [86]

Answer:

Velocity has a direction associated with it, while speed has no specific direction.

Explanation:

Velocity is a vector, while speed is a scalar.

3 0
3 years ago
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