All categories

3 years ago

Vector B has components Bx = 6.18 and By = 4.43. Find the magnitude and direction counter clockwise from the positive x-axis.

Physics

1 answer:

Blababa [14]3 years ago

4 0

Answer:

Explanation:

The formula for the magnitude of this resultant vector, which is in Q1, btw, is:

$B_{mag}=\sqrt{6.18^2+4.43^2}$ which gives us, to 3 sig fig's:

7.60 m. Since the resultant vector is in Q1, we don't need to add anything to the angle once we find it to 3 sig fig:

$tan^{-1}(\frac{4.43}{6.18})$ gives us an angle of 35.6 degrees

You might be interested in

What is the law of gravity?

Harlamova29_29 [7]

Newton's law of universal gravitation states that a particle attracts every other particle in the universe using a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them

7 0

4 years ago

A hot iron horseshoe (mass = 0.35 kg ), just forged, is dropped into 1.40 L of water in a 0.45 kg iron pot initially at 22.0°C.

olga_2 [115]

Answer:

$420$ °C

Explanation:

$m_{h}$ = mass of the horseshoe = 0.35 kg

$m_{w}$ = mass of the water = 1.40 L = 1.40 kg

$m_{i}$ = mass of the iron pot = 0.45 kg

$c_{i}$ = specific heat of iron = 450 J kg⁻¹ °C⁻¹

$c_{w}$ = specific heat of water = 4186 J kg⁻¹ °C⁻¹

$T_{hi}$ = initial temperature of the horseshoe = ?

$T_{wi}$ = initial temperature of the water = 22 °C

$T_{pi}$ = initial temperature of the iron pot = 22 °C

$T_{f}$ = final temperature = 32 °C

Using conservation of Heat

$m_{h}c_{i}(T_{hi} - T_{f}) = m_{w}c_{w}(T_{f} - T_{wi}) + m_{i}c_{i}(T_{f} - T_{pi})$

$(0.35)(450)(T_{hi} - 32) = (1.40)(4186)(32 - 22) + (0.45)(450)(32 - 22)$

$(157.5)(T_{hi} - 32) = 60629$

$T_{hi} - 32 = 384.95$

$T_{hi} = 420$ °C

7 0

3 years ago

An elevator car has a mass of 750 kg, and its three passengers have a combined mass of 135 kg. If the elevator and its passenger

joja [24]

Answer:

The change in gravitational potential energy is -1.80x10⁵ J.

Explanation:

The change in gravitational potential energy is given by:

$\Delta E_{p} = E_{p_{f}} - E_{p_{i}}$

$\Delta E_{p} = mgh_{f} - mgh_{i}$

Where:

"i" is for final and "f" for final

m: is the mass

g: is the gravity = 9.81 m/s²

h: is the height

For the car and the passengers we have:

$\Delta E_{p} = m_{T}g(h_{f} - h_{i}) = (750 kg + 135 kg)9.81 m/s^{2}(0 - 20.7 m) = -1.80 \cdot 10^{5} J$

The minus sign is because when the elevator car and the passengers are up they have a bigger gravitational potential energy than when they are in the ground.

Therefore, the change in gravitational potential energy is -1.80x10⁵ J.

I hope it helps you!

3 0

3 years ago

When you kick a ball by a force of 26.3 newtons, what is the magnitude and direction of the force that you experience?

VikaD [51]

26.3 N in the reverse direction

6 0

3 years ago

A 0.250 kg block on a vertical spring with spring constant of 4.45 ✕ 103 N/m is pushed downward, compressing the spring 0.080 m.

Elza [17]

Answer:h=5.81 m