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3 years ago

An object, moving with constant acceleration and zero initial velocity, travels 48 m

Physics

1 answer:

andre [41]3 years ago

6 0

Answer:

3.55m/s^2

Explanation:

S = ut + 1/2at^2

S = 48m, u = 0, t = 5.2

48 = (0×5.2) + (1/2 × 5.2^2)a

48 = 13.52a

Dividing through by 13.52

a = 48/13.52

a = 3.55m/s^2

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The velocity of a particle moving along the x axis is given by vx = a t − b t3 for t > 0 , where a = 27 m/s 2 , b = 3.1 m/s 4

Elanso [62]

Answer:

-54 m/s²

Explanation:

Acceleration is defined as the change in velocity of a body with respect to time. Mathematically,

Acceleration A = change in velocity/time

A = dv/dt

Given Vx = at − bt³

The time at which the particle reaches its maximum displacement is at when vx = 0.

0 = at-bt³

t(a-bt²) = 0

a-bt² = 0

a = bt²

t² = a/b ... (1)

A = dvx/dt = a - 3bt²(by differentiating)

Acceleration = a - 3bt²... (2)

Substituting t² = a/b into equation 2 will give;

Acceleration = a - 3b(a/b)

Acceleration = a-3a

Acceleration = -2a

Substituting the value of a = 27m/s into the resulting equation of acceleration gives;

Acceleration = -2(27)

Acceleration = -54m/s²

Therefore at maximum displacement in the positive x direction, the acceleration of the particle will be -54m/s²

4 0

4 years ago

A 20-car train standing on the siding is started in motion by the train’s engine. 2 cm slack is between each of the cars, which

My name is Ann [436]

Answer:

1.81 s

Explanation:

From the given information:

The links between the cars are:

1-2, 2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9, 9-10, 10-11, 11-12, 12-13, 13-14, 14-15, 15-16, 16-17, 17-18, 18-19, 19-20.

where;

1 denotes the first car that joins strongly attached to the engine.

There are 19 links from the above connections and each one of them has a 2 cm slack.

Thus; the total slack = 2 × 19 = 38 cm

However, the speed of the train = 21 cm/s

Then, the time taken by the pulse to travel the length of the train is expressed by using the formula:

= length / speed

= 38 / 21

= 1.81 seconds

Thus, the required time = 1.81 s

6 0

3 years ago

____________________ (is/are) one type of tectonic event captured in geologic maps.

dangina [55]

Answer:

Seismic activityis/are) one type of tectonic event captured in geologic maps.

3 0

2 years ago

Complete the chart. All measurements are good to 1°C or better,

lisov135 [29]

Answer:

-40°C and -273°C ok do it

3 0

3 years ago

: A fan is placed on a horizontal track and given a slight push toward an end stop 1.80 meters away. Immediately after the push,

Leokris [45]

Answer:

The initial velocity is 1.27 m/s.

Explanation:

distance, s = 1.8 m

acceleration, a = - 0.45 m/s^2

final velocity, v = 0

let the initial velocity is u.

Use third equation of motion

$v^2 = u^2 + 2 a s \\\\0 = u^2 - 2 \times 0.45\times 1.8\\\\u = 1.27 m/s$

7 0

3 years ago