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Nimfa-mama [501]
3 years ago
6

Consider the displacement vectors Ā=(i +6j)m, B = (3i– 7j)m,

Physics
1 answer:
andrezito [222]3 years ago
8 0

Answer:

Dx = -0.5

Dy = -0.25

Explanation:

Two vectors are given in rectangular components form as follows:

A = i + 6j

B = 3i - 7j

It is also given that:

A - B - 4D = 0

so, we solve this to find D vector:

(i + 6j) - (3i - 7j) - 4D = 0

- 2i - j = 4D

D = - (2/4)i - (1/4)j

D = - (1/2)i - (1/4)j

<u>D = - 0.5i - 0.25j</u>

Therefore,

<u>Dx = -0.5</u>

<u>Dy = -0.25</u>

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As Merrill watches his finger with both eyes open as he brings his finger closer to his nose, he feels his eye muscles working.
charle [14.2K]

Answer:

Answered

Explanation:

As Merrill watches his finger with both eyes open as he brings his finger closer to his nose, he feels his eye muscles working. This shows that her eyes  Muscles have both accommodation and convergence.

Accommodation and convergence allows us to view objects both near and at far without double vision.  

4 0
3 years ago
Although the temperature gradient changes from region to region in the homosphere, there is one gradient that stays the same. it
bezimeni [28]

Answer: the answer is air gradient

Explanation:

3 0
3 years ago
What object requires less force to overcome inertia B.80 kg piece of furniture or A.1000 kg vehicle
Tju [1.3M]

Less force will be necessary to overcome inertia for the 80 kg piece of furniture.

Force is a factor that has the power to alter an object's motion. A massed object's velocity can be changed or accelerated by a force. A push or a pull is a straightforward method to explain forces.

The term "moment of inertia" refers to the quantity that describes how a body resists angular acceleration and is calculated by multiplying each particle's mass by its square of the distance from the rotational axis.

I = mr², where m is the mass of the object and r is the distance to the rotation axis.

Therefore, The inertia is directly proportional to the mass of the object.

So, as the mass increases the inertia increases.

Therefore, 80 kg piece of furniture will require less force to overcome inertia.

Learn more about inertia here:

brainly.com/question/14460640

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8 0
2 years ago
A 12.0 g bullet was fired horizontally into a 1 kg block of wood. The bullet initially had a speed of 250 m/s. The block of wood
LuckyWell [14K]

Answer:

The rise in height of combined block/bullet from its original position is 0.45m

Explanation:

Given;

mass of bullet, m₁ = 12 g = 0.012 kg

mass of block of wood, m₂ = 1 kg

initial speed of bullet, u₁ = 250 m/s.

initial speed of block of wood, u₂ = 0

From the principle of conservation of linear momentum, calculate the final speed of the combined block/bullet system.

m₁u₁ + m₂u₂ = v(m₁+m₂)

where;

v is the final speed of the combined block/bullet system.

0.012 x 250 + 0 = v (0.012 + 1)

3 = v (1.012)

v = 3/1.012

v = 2.96 m/s

From the principle of conservation of energy, calculate the rise in height of the block/bullet combined from its original position.

¹/₂mv² = mgh

¹/₂v² = gh

¹/₂ (2.96)² = (9.8)h

4.3808 = 9.8h

h = 4.3808/9.8

h = 0.45 m

Therefore, the rise in height of combined block/bullet from its original position is 0.45m

7 0
3 years ago
Read 2 more answers
A car is strapped to a rocket (combined mass = 661 kg), and its kinetic energy is 66,120 J.
labwork [276]

Answer:

9.4 m/s

Explanation:

According to the work-energy theorem, the work done by external forces on a system is equal to the change in kinetic energy of the system.

Therefore we can write:

W=K_f -K_i

where in this case:

W = -36,733 J is the work done by the parachute (negative because it is opposite to the motion)

K_i = 66,120 J is the initial kinetic energy of the car

K_f is the final kinetic energy

Solving,

K_f = K_i + W=66,120+(-36,733)=29387 J

The final kinetic energy of the car can be written as

K_f = \frac{1}{2}mv^2

where

m = 661 kg is its mass

v is its final speed

Solving for v,

v=\sqrt{\frac{2K_f}{m}}=\sqrt{\frac{2(29,387)}{661}}=9.4 m/s

4 0
3 years ago
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