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KiRa [710]
3 years ago
14

A solid ball is released from rest and slides down a hillside that slopes downward at 65.0" from the horizontal

Physics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0
Setting reference frame so that the x axis is along the incline and y is perpendicular to the incline 
<span>X: mgsin65 - F = mAx </span>
<span>Y: N - mgcos65 = 0 (N is the normal force on the incline) N = mgcos65 (which we knew) </span>
<span>Moment about center of mass: </span>
<span>Fr = Iα </span>
<span>Now Ax = rα </span>
<span>and F = umgcos65 </span>
<span>mgsin65 - umgcos65 = mrα -------------> gsin65 - ugcos65 = rα (this is the X equation m's cancel) </span>
<span>umgcos65(r) = 0.4mr^2(α) -----------> ugcos65(r) = 0.4r(rα) (This is the moment equation m's cancel) </span>
<span>ugcos65(r) = 0.4r(gsin65 - ugcos65) ( moment equation subbing in X equation for rα) </span>
<span>ugcos65 = 0.4(gsin65 - ugcos65) </span>
<span>1.4ugcos65 = 0.4gsin65 </span>
<span>1.4ucos65 = 0.4sin65 </span>
<span>u = 0.4sin65/1.4cos65 </span>
<span>u = 0.613 </span>
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Complete the steps for converting 3.6 gallons per minute to milliliters per second. (1 gallon = 3.79 liters and 1 liter = 1,000
AlekseyPX

Given that,

Capacity = 3.6 gallons per minutes

Convert it into milliliters per seconds

Since, 1 gallon = 3.79 liters

1 liters = 1000 milliliters

Capacity= (3.6*3.79*1000)/(60)

Capacity = 227.4 milliliters per second.

6 0
3 years ago
Please help! Average speed. Show work!
KiRa [710]

Answer:

3.78 m/s

Explanation:

Recall that the formula for average speed is given by

Speed = Distance ÷ Time taken

Where,

Speed = we are asked to find this

Distance = given as 340m

Time taken = 1.5 min = 1.5 x 60 = 90 seconds

Substituting the values into the equation:

Speed = Distance ÷ Time taken

= 340 meters  ÷ 90 seconds

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3 0
3 years ago
Read 2 more answers
A block is on a frictionless table, on earth. The block accelerates at 7.5 m/s when a 70 N horizontal force is applied to it. Th
Liono4ka [1.6K]

Answer:

The weight of the block on the moon is 15 kg.

Explanation:

It is given that,

The acceleration of the block, a = 7.5 m/s²

Force applied to the box, F = 70 N

The mass of the block will be, m=\dfrac{F}{a}

m=\dfrac{70\ N}{7.5\ m/s^2}

m = 9.34 kg

The block and table are set up on the moon. The acceleration due to gravity at the surface of the moon is 1.62 m/s². The mass of the object remains the same. It weight W is given by :

W=m\times g

W=9.34\ kg\times 1.62\ m/s^2

W = 15.13 N

or

W = 15 N

So, the weight of the block on the moon is 15 kg. Hence, this is the required solution.

3 0
3 years ago
A parallel-plate capacitor is formed from two 2.7 cm -diameter electrodes spaced 1.4 mm apart. The electric field strength insid
Andre45 [30]

Answer:

The potential difference between the plates is 8.4\times10^{3}\ V

Explanation:

Given that,

Distance = 1.4 mm

Electric field strength E= 6.0\times10^{6}\ N/C

Let the potential difference is V.

We need to calculate the potential difference between the plates

Using formula of electric field

E=\dfrac{V}{d}

V=Ed

Where, V = potential

d = distance

Put the value into the formula

V=6.0\times10^{6}\times1.4\times10^{-3}

V=8.4\times10^{3}\ V

Hence, The potential difference between the plates is 8.4\times10^{3}\ V

3 0
3 years ago
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