How long does it take a car traveling at 50 mph to travel 75 miles? Use one of the following to find the answer.

A long ramp made of cast iron is sloped at a constant angle θ = 52.0∘ above the horizontal. Small blocks, each with mass 0.42 kg

dezoksy [38]

Answer:

For cast iron we have

$h = 0.92 m$

For copper

$h = 1.05 m$

For Lead

$h = 1.23 m$

For Zinc

$h = 2.43 m$

Explanation:

As we know that final speed of the block is calculated by work energy theorem

$W_f + W_g = \frac{1}{2}mv^2$

now we have

$-\mu_k mg cos\theta(\frac{h}{sin\theta}) + mgh = \frac{1}{2}mv^2$

now we have

$v^2 = 2gh - 2\mu_k g h cot\theta$

$v = \sqrt{2gh(1 - \mu_k cot\theta)}$

For cast iron we have

$4 = \sqrt{2(9.81)(h)(1 - 0.15cot52)}$

$h = 0.92 m$

For copper

$4 = \sqrt{2(9.81)(h)(1 - 0.29cot52)}$

$h = 1.05 m$

For Lead

$4 = \sqrt{2(9.81)(h)(1 - 0.43cot52)}$

$h = 1.23 m$

For Zinc

$4 = \sqrt{2(9.81)(h)(1 - 0.85cot52)}$

$h = 2.43 m$

4 0

3 years ago

If the pressure on an ideal gas is increased, what will happen to the volume of the gas?

iogann1982 [59]

<span>B). it will decrease.

But, you should keep the temperature constant, 'cause according to Boyle's law, pressure of the ideal gases is indirectly proportional to it's volume but at constant temperature. So, don't confuse in that.

Hope this helps!

</span>

7 0

4 years ago

The figure shows the arrangement of master cylinder and slave cylinder of a part of braking system. The master cylinder piston,

Neko [114]

Answer:

a) 35 kPa

d) 140 N

c) 1) Increasing the brake fluid pressure

2) Increasing the slave piston surface area.

Explanation:

The parameters given are;

a) Force applied to the master cylinder piston = 28 N

Cross sectional area of the master cylinder piston = 8 cm² = 8 × 10⁻⁴ m²

The pressure P on the brake fluid is given by the formula for pressure as follows;

$P= \dfrac{Applied \ force}{Area \over \ which \ force \ is \ applied} = \dfrac{28 \, N}{8 \times 10^{-4} \, m^2} = 35,000 \, N/m^2 = 35,000 \, Pa$

The pressure on the brake fluid, P, produced by the master cylinder piston = 35,000 Pa = 35 kPa

b) Given that the area of the slave piston = 40 cm² = 0.004 m², we have from the formula for pressure, P;

$P= \dfrac{Applied \ force}{Area \over \ which \ force \ is \ applied} = \dfrac{Applied \ force}{4 \times 10^{-3} \, m^2} = 35,000 \, N/m^2$

Therefore;

Applied force on the slave piston = 4 × 10⁻³ m² × 35,000 N/m² = 140 N

c) The force, F produced by the slave cylinder piston is given by the relation;

F = Pressure × Area

Therefore, the two ways of increasing the force produced by the slave cylinder piston is as follows;

1) Increasing the pressure in the brake fluid by increasing the force exerted by the master cylinder piston

2) Increasing the surface area of the slave piston.

4 0

3 years ago

Select inductive reasoning, deductive reasoning, or neither.

JulsSmile [24]

Based on the given situation above about the ants tasting a sample of a certain liquid, the kind of reasoning that is applicable to it would be inductive reasoning. Inductive reasoning is a kind of reasoning which is based on specific instances going to the conclusion.

4 0

3 years ago

Read 2 more answers

shows an Atwood machine that consists of two blocks (of masses m1 and m2) tied together with a massless rope that passes over a

taurus [48]

Answer:

Shows an atwood machine that consists of two blocks (of masses m1 and m2) tied together with a massless rope that passes over a fixed, perfect (massless and frictionless) pulley. in this problem you'll investigate some special cases where physical variables describing the atwood machine take on limiting values. often, examining special cases will simplify a problem, so that the solution may be found from inspection or from the results of a problem you've already seen. for all parts of this problem, take upward to be the positive direction and take the gravitational constant, g, to be positive.

part a consider the case where m1 and m2 are both nonzero, and m2> m1. let t1 be the magnitude of the tension in the rope connected to the block of mass m1, and let t2 be the magnitude of the tension in the rope connected to the block of mass m2. which of the following statements is true?

consider the case where and are both nonzero, and . let be the magnitude of the tension in the rope connected to the block of mass , and let be the magnitude of the tension in the rope connected to the block of mass . which of the following statements is true?

a) t1 is always equal to t2.

b) t2 is greater than t1 by an amount independent of velocity.

c) t2 is greater than t1 but the difference decreases as the blocks increase in velocity.

d) there is not enough information to determine the relationship between t1 and t2.

The correct answer to the question is

At equilibrium a) t1 is always equal to t2.

Explanation:

For a Atwood machine we have the masses m₁ and m₂ tied together by a string

Where m₂ > m₁ we take upward to be the positive direction and gravitational constant g = + ve

When in equilibrium, by analyzing the tension in the string, we have

T₁, tension is due to the weight of m₁ and the reaction of m₂

similarly for T₂ tension is due to the weight of m₂ and the reaction of m₁

Since the string is assumed to be weightless and continuous, and the pulley is friction-less, the two weights is therefore supported only by the string hence the tension T₁ and T₂ are equal

5 0

3 years ago