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svp [43]
4 years ago
5

A speed boat travels with a speed of 6 m/s travels directly north to cross a river flowing west with a current traveling at a sp

eed of 3 m/s. What is the resultant velocity of the boat?
Physics
1 answer:
dedylja [7]4 years ago
6 0

Answer:

6.7 m/s @ 116.6°

Explanation:

Use Pythagorean theorem to find the magnitude:

v² = vx² + vy²

v² = (-3 m/s)² + (6 m/s)²

v = √45 m/s

v ≈ 6.7 m/s

Use trigonometry to find the direction:

θ = atan(vy / vx)

θ = atan(6 m/s / -3 m/s)

θ = atan(-2)

θ ≈ 116.6° from the +x axis, or 63.4° north of west.

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3 years ago
Some of the energy the car gained as it was pulled was lost because of heat from friction. The rest of the energy was transforme
Lisa [10]

Answer:

454,320 joules

Explanation:

The work done on an object is equal to its change in kinetic energy: Change in KE = F × d.

Plug the values for F and d into the formula and solve:

Change in KE = 2,524 × 180

= 454,320 joules

The roller coaster gains 454,320 joules of energy from the work done on it by the chain.

7 0
4 years ago
Read 2 more answers
A toy dart gun has a spring with k= 128 N/m. How much force does it take to pull the spring back 0.0500 m? (Unit = N)​
yKpoI14uk [10]

Answer:

F = 0.64 N

Explanation:

We are given;

Spring constant constant; k = 1.28 N/m

Distance; x = 0.5 m

From Hooke's law, we know that F = kx.

Thus;

F = 1.28 × 0.5

F = 0.64 N

Thus, force it takes to pull the spring back = 0.64 N

4 0
3 years ago
Read 2 more answers
Give two examples of Newton's second law of motion
romanna [79]
<span>Examples of Newton's 2nd Law  If you use the same force to push a truck and push a car, the car will have more acceleration than the truck, because the car has less mass.  It is easier to push an empty shopping cart than a full one, because the full shopping cart has more mass than the empty one.</span>
from slide share.com
5 0
3 years ago
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A 30 g bullet moving a horizontal velocity of 500 m/s comes to a stop 12 cm within a solid wall. (a) what is the change in the b
Sidana [21]
M = 30 g = 0.03 kg, the mass of the bullet
v = 500 m/s, the velocity of the bullet

By definition, the KE (kinetic energy) of the bullet is
KE = (1/2)*m*v²
      = 0.5*(0.03 kg)*(500 m/s)² = 3750 J
Because the bullet comes to rest, the change in mechanical energy is 3750 J.

The work done by the wall to stop the bullet in 12 cm is
W = (1/2)*(F N)*(0.12 m) = 0.06F J

If energy losses in the form of heat or sound waves are ignored, then
W = KE.
That is,
0.06F = 3750
F = 62500 N = 62.5 kN

Answer:
(a) 3750 J
(b) 62.5 kN

7 0
4 years ago
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